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My name is Ann [436]
3 years ago
15

When sample size increases:____.

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
3 0

Answer:

D. Confidence interval decreases.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

When sample size increases:

The standard deviation of the sample mean is:

s = \frac{\sigma}{\sqrt{n}}

That is, it is inversely proportional to the sample size, so if the sample size incerases, the standard deviation decreases, and so does the confidence interval.

This means that the correct answer is given by option D.

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Write 5 and 2/5 as a decimal
Alenkasestr [34]

Answer:

5.4.

Step-by-step explanation:

If we divide 2 by 5 we get 0.4

So 5 and 2/5 = 5.4

7 0
3 years ago
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at a party at the middle school over on third avenue next to the bank, $60\%$ of the students are seventh graders. these student
Vaselesa [24]

There are 600 students including the seventh and eighth graders at the party.

This problem uses the concept of percentages to define the conditions that are laid in front of us.

Let the original  number of students be S , and the number of seventh graders be   = 0.60S

We know that percent is used to convey the mathematical term of a fraction multiplied by 100.

Total students  after 20 eighth graders arrive = S + 20

And we have that

Number of seventh graders / total number of students  =  58%

.60S  / [ S + 20 ]  =   .58    we multiply both sides by  S +  20

0.60S  =0 .58 [ S + 20]

.60S  = .58S + 11.6   we subtract  0.58S from  both the sides

0.02S = 11.6  we divide both the sides  by .02

S  = 11/6 / 0.02 =    580

So the total number of students = 580 + 20  = 600 .

Hence there are 600 students at the party at that time.

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5 0
1 year ago
PLEASE HURRY!!!
Oduvanchick [21]

Answer: OPTION B.

Step-by-step explanation:

You need to analize the information given in order to solve this exercise.

According to the explained in the exercise, the graph shows Eli's distance (in miles) away from his house as a function of time (in minutes).

Then, based on that you can determine that he started his trip from the point (0,0) (Notice that the time and the distance are zero)

Observe in the graph that he arrived  to the library (which is 4 miles away from his house) after 30 minutes.

Then, he stayed at the library. You know this because it is represented with an horizontal line.

Now you can identify in the graph that, from the point (120,4) ,in which the time in minutes is t=120, Eli began his trip from the library to his house.

Therefore, based on the above, you can determine that, when the time is equal to 120 minutes, Eli  rode his bicycle home from the library.

8 0
3 years ago
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To evaluate whether a new fertilizer improves plant growth more than the old fertilizer, the fertilizer developer gives some pla
olga2289 [7]

Answer:

B) Experiment: you imposed a treatment (new fertilizer on some plants, old on others) to determine its effect.

Step-by-step explanation:

In this situation, the fertilizer developer wants to evaluate a hypothesis, not just observe, by subjecting plants to two different treatments (new and old fertilizer) in order to determine which treatment provides a more desirable effect (more plant growth).

This process configures an experiment.

The answer is alternative B)

6 0
2 years ago
Angle p is an obtuse angle. which could be the measure of angle p
Lunna [17]
Between 90 and 180 degrees
4 0
2 years ago
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